- #1
Timtam
- 42
- 0
The no slip condition has been described as the adhesion of a fluid to a solid surface setting the relative fluid velocity to zero - cohesion (viscous stress) between fluid elements spreads evenly the velocity gradient through the boundary to the free stream.
This also infers that the pressure at the boundary would still be static (zero velocity) and by Pascals purely perpendicular to the surface
In an ideal fluid (Without the presence of adhesion,cohesion and viscous stress) would a thin layer of fluid due purely to its kinetic interactions with the adjacent solid - still experience zero fluid velocity, meaning that the fluid pressure still be static and act perpendicular near the fixed surface.
I believe it would - Digging a bit deeper into why pressure is always perpendicular at a boundary even in the presence of a Dynamic Pressure (organised momentum) I came across a slightly different explanation than adhesion.
I believe the explanation is Maxwell Specular reflection - in short the momentum provided to the solid surface is absorbed by the wall via its only available degrees of freedom -rotational.
At the same time the rotational degrees of freedom of the wall provide the momentum to the translational degrees of freedom of the fluid molecule.
As there is no relationship between the original linear momentum and the final linear momentum of the fluid. The final momentum will be across all vectors away from the wall - random static pressure with all tangential components canceled .
This specular reflection seems to be a robust case that the no slip condition would still exist in a ideal fluid
its only the even velocity gradient that wouldn't exist
This also infers that the pressure at the boundary would still be static (zero velocity) and by Pascals purely perpendicular to the surface
Homework Statement
In an ideal fluid (Without the presence of adhesion,cohesion and viscous stress) would a thin layer of fluid due purely to its kinetic interactions with the adjacent solid - still experience zero fluid velocity, meaning that the fluid pressure still be static and act perpendicular near the fixed surface.
Homework Equations
The Attempt at a Solution
I believe it would - Digging a bit deeper into why pressure is always perpendicular at a boundary even in the presence of a Dynamic Pressure (organised momentum) I came across a slightly different explanation than adhesion.
I believe the explanation is Maxwell Specular reflection - in short the momentum provided to the solid surface is absorbed by the wall via its only available degrees of freedom -rotational.
At the same time the rotational degrees of freedom of the wall provide the momentum to the translational degrees of freedom of the fluid molecule.
As there is no relationship between the original linear momentum and the final linear momentum of the fluid. The final momentum will be across all vectors away from the wall - random static pressure with all tangential components canceled .
This specular reflection seems to be a robust case that the no slip condition would still exist in a ideal fluid
its only the even velocity gradient that wouldn't exist